Electric Charges And Fields Ques 31
31. A charge $Q$ is enclosed by a Gaussian spherical surface of radius $R$. If the radius is doubled, then the outward electric flux will
[2011]
(a) increase four times
(b) be reduced to half
(c) remain the same
(d) be doubled
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Answer:
Correct Answer: 31.(c)
Solution:
- (c) By Gauss’s theorem,
$ \phi=\frac{Q _{\text{in }}}{\epsilon_0} $
Thus, the net flux depends only on the charge enclosed by the surface. Hence, there will be no effect on the net flux if the radius of the surface is doubled.
BETA
